11/17: Translations and Reflections Practice

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you reflect a point (x, y) over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the new point is (-x, y).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, the y-coordinate changes sign: the new point is (x, -y).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure a certain distance in a specified direction without changing its shape or orientation.

Front

When translating a point (x, y) 5 units up, what are the new coordinates?

Back

The new coordinates will be (x, y + 5).

Front

What coordinate is affected when translating a point left or right?

Back

The x-coordinate is affected when translating left or right.

Front

If a triangle is reflected across the y-axis, what happens to the coordinates of its vertices?

Back

The x-coordinates of the vertices change sign, while the y-coordinates remain the same.

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the changes in the x and y coordinates: positive changes indicate right/up, and negative changes indicate left/down.

Front

What is the result of reflecting the point (3, 4) over the y-axis?

Back

The result is (-3, 4).

Front

If trapezoid ABCD is translated 3 units to the right and 2 units down, what are the new coordinates of point A(1, 2)?

Back

The new coordinates of point A will be (1 + 3, 2 - 2) = (4, 0).